Thermalization in the one-dimensional Salerno model lattice
Authors
Mithun, ThudiyangalMaluckov, Aleksandra

Manda, Bertin Many
Skokos, Charalampos
Bishop, Alan
Saxena, Avadh
Khare, Avinash
Kevrekidis, Panayotis G
Article (Accepted Version)
Metadata
Show full item recordAbstract
The Salerno model constitutes an intriguing interpolation between the integrable Ablowitz-Ladik (AL) model and the more standard (nonintegrable) discrete nonlinear Schrödinger (DNLS) one. The competition of local on-site nonlinearity and nonlinear dispersion governs the thermalization of this model. Here, we investigate the statistical mechanics of the Salerno one-dimensional lattice model in the nonintegrable case and illustrate the thermalization in the Gibbs regime. As the parameter interpolating between the two limits (from DNLS toward AL) is varied, the region in the space of initial energy and norm densities leading to thermalization expands. The thermalization in the non-Gibbs regime heavily depends on the finite system size; we explore this feature via direct numerical computations for different parametric regimes.
Source:
Physical Review E, 2021, 103, 3, 032211-Funding / projects:
- National Science Foundation - NSF [DMS-1809074]
- Ministry of Education, Science and Technological Development, Republic of Serbia, Grant no. 200017 (University of Belgrade, Institute of Nuclear Sciences 'Vinča', Belgrade-Vinča) (RS-200017)
- National Research Foundation (NRF) of South Africa
- Indian National Science Academy (INSA)
- United States Department of Energy (DOE) [DEAC52-06NA25396]
Note:
- This is the peer-reviewed version of the article: Mithun, T., Maluckov, A., Manda, B. M., Skokos, C., Bishop, A., Saxena, A., ... & Kevrekidis, P. G. (2021). Thermalization in the one-dimensional Salerno model lattice. Physical Review E, 103(3), 032211. http://dx.doi.org/10.1103/PhysRevE.103.032211
- Link at arXiv.org: https://arxiv.org/abs/2012.03652
Related info:
DOI: 10.1103/PhysRevE.103.032211
ISSN: 2470-0045
PubMed: 33862787
WoS: 000650940100001
Scopus: 2-s2.0-85104452759
Institution/Community
VinčaTY - JOUR AU - Mithun, Thudiyangal AU - Maluckov, Aleksandra AU - Manda, Bertin Many AU - Skokos, Charalampos AU - Bishop, Alan AU - Saxena, Avadh AU - Khare, Avinash AU - Kevrekidis, Panayotis G PY - 2021 UR - https://vinar.vin.bg.ac.rs/handle/123456789/9660 AB - The Salerno model constitutes an intriguing interpolation between the integrable Ablowitz-Ladik (AL) model and the more standard (nonintegrable) discrete nonlinear Schrödinger (DNLS) one. The competition of local on-site nonlinearity and nonlinear dispersion governs the thermalization of this model. Here, we investigate the statistical mechanics of the Salerno one-dimensional lattice model in the nonintegrable case and illustrate the thermalization in the Gibbs regime. As the parameter interpolating between the two limits (from DNLS toward AL) is varied, the region in the space of initial energy and norm densities leading to thermalization expands. The thermalization in the non-Gibbs regime heavily depends on the finite system size; we explore this feature via direct numerical computations for different parametric regimes. T2 - Physical Review E T1 - Thermalization in the one-dimensional Salerno model lattice VL - 103 IS - 3 SP - 032211 DO - 10.1103/PhysRevE.103.032211 ER -
@article{ author = "Mithun, Thudiyangal and Maluckov, Aleksandra and Manda, Bertin Many and Skokos, Charalampos and Bishop, Alan and Saxena, Avadh and Khare, Avinash and Kevrekidis, Panayotis G", year = "2021", abstract = "The Salerno model constitutes an intriguing interpolation between the integrable Ablowitz-Ladik (AL) model and the more standard (nonintegrable) discrete nonlinear Schrödinger (DNLS) one. The competition of local on-site nonlinearity and nonlinear dispersion governs the thermalization of this model. Here, we investigate the statistical mechanics of the Salerno one-dimensional lattice model in the nonintegrable case and illustrate the thermalization in the Gibbs regime. As the parameter interpolating between the two limits (from DNLS toward AL) is varied, the region in the space of initial energy and norm densities leading to thermalization expands. The thermalization in the non-Gibbs regime heavily depends on the finite system size; we explore this feature via direct numerical computations for different parametric regimes.", journal = "Physical Review E", title = "Thermalization in the one-dimensional Salerno model lattice", volume = "103", number = "3", pages = "032211", doi = "10.1103/PhysRevE.103.032211" }
Mithun, T., Maluckov, A., Manda, B. M., Skokos, C., Bishop, A., Saxena, A., Khare, A.,& Kevrekidis, P. G.. (2021). Thermalization in the one-dimensional Salerno model lattice. in Physical Review E, 103(3), 032211. https://doi.org/10.1103/PhysRevE.103.032211
Mithun T, Maluckov A, Manda BM, Skokos C, Bishop A, Saxena A, Khare A, Kevrekidis PG. Thermalization in the one-dimensional Salerno model lattice. in Physical Review E. 2021;103(3):032211. doi:10.1103/PhysRevE.103.032211 .
Mithun, Thudiyangal, Maluckov, Aleksandra, Manda, Bertin Many, Skokos, Charalampos, Bishop, Alan, Saxena, Avadh, Khare, Avinash, Kevrekidis, Panayotis G, "Thermalization in the one-dimensional Salerno model lattice" in Physical Review E, 103, no. 3 (2021):032211, https://doi.org/10.1103/PhysRevE.103.032211 . .